2x+31=11x-77

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Solution for 2x+31=11x-77 equation:


Simplifying
2x + 31 = 11x + -77

Reorder the terms:
31 + 2x = 11x + -77

Reorder the terms:
31 + 2x = -77 + 11x

Solving
31 + 2x = -77 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.
31 + 2x + -11x = -77 + 11x + -11x

Combine like terms: 2x + -11x = -9x
31 + -9x = -77 + 11x + -11x

Combine like terms: 11x + -11x = 0
31 + -9x = -77 + 0
31 + -9x = -77

Add '-31' to each side of the equation.
31 + -31 + -9x = -77 + -31

Combine like terms: 31 + -31 = 0
0 + -9x = -77 + -31
-9x = -77 + -31

Combine like terms: -77 + -31 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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